00:01
Okay, so for this question, we're looking at this function here, and we want to know the domain, the range, the intercepts, and what it looks like.
00:10
So thinking about the domain, this is the region of x where this function is defined.
00:16
So we can see here from this expression for the function, we know what f of x will be for x greater than zero, and we know what f of x will be for x equal to zero.
00:26
But we don't know what f of x will be for x less than zero.
00:29
So the domain of this function, where it's defined, is going to be x greater than or equal to 0, because these are the values of x that we have a value of fx for.
00:41
And so we could then think about what's the range.
00:44
So this is what values can f of x take.
00:47
And so you can see for x greater than 0, f of x, which is 3x, will also be greater than 0.
00:54
And at x is 0, f of x is 4, which is also greater than 0.
00:59
Can see that f of x will never be zero and f of x will never be less than zero.
01:05
So the range of our function is f of x greater than zero...